2y^2-13y+18=(1y+m)(2y+n)

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Solution for 2y^2-13y+18=(1y+m)(2y+n) equation:


Simplifying
2y2 + -13y + 18 = (1y + m)(2y + n)

Reorder the terms:
18 + -13y + 2y2 = (1y + m)(2y + n)

Reorder the terms:
18 + -13y + 2y2 = (m + 1y)(2y + n)

Reorder the terms:
18 + -13y + 2y2 = (m + 1y)(n + 2y)

Multiply (m + 1y) * (n + 2y)
18 + -13y + 2y2 = (m(n + 2y) + 1y * (n + 2y))
18 + -13y + 2y2 = ((n * m + 2y * m) + 1y * (n + 2y))
18 + -13y + 2y2 = ((mn + 2my) + 1y * (n + 2y))
18 + -13y + 2y2 = (mn + 2my + (n * 1y + 2y * 1y))
18 + -13y + 2y2 = (mn + 2my + (1ny + 2y2))
18 + -13y + 2y2 = (mn + 2my + 1ny + 2y2)

Add '-2y2' to each side of the equation.
18 + -13y + 2y2 + -2y2 = mn + 2my + 1ny + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
18 + -13y + 0 = mn + 2my + 1ny + 2y2 + -2y2
18 + -13y = mn + 2my + 1ny + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
18 + -13y = mn + 2my + 1ny + 0
18 + -13y = mn + 2my + 1ny

Solving
18 + -13y = mn + 2my + 1ny

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2my' to each side of the equation.
18 + -2my + -13y = mn + 2my + -2my + 1ny

Combine like terms: 2my + -2my = 0
18 + -2my + -13y = mn + 0 + 1ny
18 + -2my + -13y = mn + 1ny

Add '-1ny' to each side of the equation.
18 + -2my + -1ny + -13y = mn + 1ny + -1ny

Combine like terms: 1ny + -1ny = 0
18 + -2my + -1ny + -13y = mn + 0
18 + -2my + -1ny + -13y = mn

Add '-18' to each side of the equation.
18 + -2my + -1ny + -18 + -13y = -18 + mn

Reorder the terms:
18 + -18 + -2my + -1ny + -13y = -18 + mn

Combine like terms: 18 + -18 = 0
0 + -2my + -1ny + -13y = -18 + mn
-2my + -1ny + -13y = -18 + mn

Reorder the terms:
18 + -1mn + -2my + -1ny + -13y = -18 + mn + 18 + -1mn

Reorder the terms:
18 + -1mn + -2my + -1ny + -13y = -18 + 18 + mn + -1mn

Combine like terms: -18 + 18 = 0
18 + -1mn + -2my + -1ny + -13y = 0 + mn + -1mn
18 + -1mn + -2my + -1ny + -13y = mn + -1mn

Combine like terms: mn + -1mn = 0
18 + -1mn + -2my + -1ny + -13y = 0

The solution to this equation could not be determined.

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